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130737744 = 24327312437
BaseRepresentation
bin1111100101011…
…10011001010000
3100010000011110200
413302232121100
5231432101434
620550055200
73145152414
oct762563120
9303004420
10130737744
1167886225
123794a500
1321116517
1413512d44
15b727199
hex7cae650

130737744 has 60 divisors (see below), whose sum is σ = 370926036. Its totient is φ = 42978816.

The previous prime is 130737743. The next prime is 130737751. The reversal of 130737744 is 447737031.

It can be written as a sum of positive squares in 2 ways, for example, as 32490000 + 98247744 = 5700^2 + 9912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 130737699 and 130737708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130737743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4294 + ... + 16730.

Almost surely, 2130737744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130737744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185463018).

130737744 is an abundant number, since it is smaller than the sum of its proper divisors (240188292).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130737744 is a wasteful number, since it uses less digits than its factorization.

130737744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12524 (or 12515 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 130737744 is about 11434.0606960082. The cubic root of 130737744 is about 507.5361670295.

The spelling of 130737744 in words is "one hundred thirty million, seven hundred thirty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 5256 10512 12437 24874 37311 49748 74622 99496 111933 149244 198992 223866 298488 447732 596976 895464 907901 1790928 1815802 2723703 3631604 5447406 7263208 8171109 10894812 14526416 16342218 21789624 32684436 43579248 65368872 130737744